WordGPT

Solve 7x + 13 = 55

The solution of 7x + 13 = 55 is x = 6.

The lines y = 7x + 13 and y = 55 meet at x = 62468101220406080100x = 6y = 7x + 13y = 55
The lines y = 7x + 13 and y = 55 meet at x = 6. The solution of the equation is the x-coordinate of the point where the two sides are equal.

How to work it out

  1. 1

    The goal is to get x alone. Undo the operations in the opposite order: first the addition, then the multiplication.

    7x+13=557x + 13 = 55
  2. 2

    Subtract 13 from both sides:

    7x+13−13=55−13 ⇒ 7x=427x + 13 - 13 = 55 - 13 \ \Rightarrow\ 7x = 42
  3. 3

    Divide both sides by 7:

    7x7=427 ⇒ x=6\frac{7x}{7} = \frac{42}{7} \ \Rightarrow\ x = 6
  4. 4

    Check: put x = 6 back into the equation.

    7⋅6+13=42+13=55✓7\cdot6 + 13 = 42 + 13 = 55 \checkmark
LaTeX source of the formulas on this page
\[ 7x + 13 = 55\ \Rightarrow\ x = 6 \]
\[ 7x + 13 = 55 \]
\[ 7x + 13 - 13 = 55 - 13 \ \Rightarrow\ 7x = 42 \]
\[ \frac{7x}{7} = \frac{42}{7} \ \Rightarrow\ x = 6 \]
\[ 7\cdot6 + 13 = 42 + 13 = 55 \checkmark \]

Trying values of x in 7x + 13 = 55

x7x + 13Equals 55?
441no
548no
655yes
762no
869no

Questions

What is x in 7x + 13 = 55?

The solution of 7x + 13 = 55 is x = 6.

How do you solve 7x + 13 = 55?

Subtract 13 from both sides to get 7x = 42, then divide both sides by 7 to get x = 6.

How do I check the answer?

Replace x by 6: 7(6) + 13 = 55, which is 55.

Similar equations

    Solve 7x + 13 = 55: x = 6 (steps and check) | WordGPT